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Simplifying 3(x + -6) + -8x = -2x + 5(2x + -1) Reorder the terms: 3(-6 + x) + -8x = -2x + 5(2x + -1) (-6 * 3 + x * 3) + -8x = -2x + 5(2x + -1) (-18 + 3x) + -8x = -2x + 5(2x + -1) Combine like terms: 3x + -8x = -5x -18 + -5x = -2x + 5(2x + -1) Reorder the terms: -18 + -5x = -2x + 5(-1 + 2x) -18 + -5x = -2x + (-1 * 5 + 2x * 5) -18 + -5x = -2x + (-5 + 10x) Reorder the terms: -18 + -5x = -5 + -2x + 10x Combine like terms: -2x + 10x = 8x -18 + -5x = -5 + 8x Solving -18 + -5x = -5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -18 + -5x + -8x = -5 + 8x + -8x Combine like terms: -5x + -8x = -13x -18 + -13x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + -13x = -5 + 0 -18 + -13x = -5 Add '18' to each side of the equation. -18 + 18 + -13x = -5 + 18 Combine like terms: -18 + 18 = 0 0 + -13x = -5 + 18 -13x = -5 + 18 Combine like terms: -5 + 18 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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